Gradians to Minutes Of Arc Conversion

Enter the angle in gradians below to get the value converted to minutes of arc.

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1g = 54 arcmin

How to Convert Gradians to Minutes Of Arc

Protractors are often used to measure angle

To convert a gradian measurement to a minute of arc measurement, multiply the angle by the conversion ratio. One gradian is equal to 54 minutes of arc, so use this simple formula to convert:

minutes of arc = gradians × 54

The angle in minutes of arc is equal to the gradians multiplied by 54.

For example, here's how to convert 5 gradians to minutes of arc using the formula above.
5g = (5 × 54) = 270'

Gradians and minutes of arc are both units used to measure angle. Keep reading to learn more about each unit of measure.

Gradians

A gradian is equal to 1/400 of a revolution or circle, or 9/10°. The grad, or gon, is more precisely defined as π/200, or 1.570796 × 10-2 radians.[1]

This unit simplifies the measurements of right angles, as 90° is equal to 100 gradians.

Right angles in gradians
GradiansDegrees
0 grad
100 grad90°
200 grad180°
300 grad270°
400 grad360°

A gradian is sometimes also referred to as a grad, gon, or grade. Gradians can be abbreviated as g, and are also sometimes abbreviated as gr or grd. For example, 1 gradian can be written as 1g, 1 gr, or 1 grd.

Minutes Of Arc

The minute of arc is a unit of angle equal to 1/60th of one degree, or 1/21,600 of a circle. The minute of arc is also equal to π/10,800 radians.

A minute of arc is sometimes also referred to as an arc minute, arcminute, or minute arc. Minutes of arc can be abbreviated as arcmin, and are also sometimes abbreviated as MOA or amin. For example, 1 minute of arc can be written as 1 arcmin, 1 MOA, or 1 amin.

The minute of arc is most commonly represented using the prime (′), although the single-quote is commonly used. For instance, 1 minute of is most commonly expressed as 1′.

Gradian to Minute Of Arc Conversion Table

Gradian measurements converted to minutes of arc
Gradians Minutes Of Arc
1g 54'
2g 108'
3g 162'
4g 216'
5g 270'
6g 324'
7g 378'
8g 432'
9g 486'
10g 540'
11g 594'
12g 648'
13g 702'
14g 756'
15g 810'
16g 864'
17g 918'
18g 972'
19g 1,026'
20g 1,080'
21g 1,134'
22g 1,188'
23g 1,242'
24g 1,296'
25g 1,350'
26g 1,404'
27g 1,458'
28g 1,512'
29g 1,566'
30g 1,620'
31g 1,674'
32g 1,728'
33g 1,782'
34g 1,836'
35g 1,890'
36g 1,944'
37g 1,998'
38g 2,052'
39g 2,106'
40g 2,160'

References

  1. Ambler Thompson and Barry N. Taylor, Guide for the Use of the International System of Units (SI), National Institute of Standards and Technology, https://physics.nist.gov/cuu/pdf/sp811.pdf